Question

algebra 2
carpenter
relations and functions – (sect: 0 - 4)
determine if the relation is a function. circle the answer.

1. determine if the relation is a function. given the domain and range.

{(3, - 9),(11,21),(121,34),(34,1),(23,45)}
2.

1. function: yes or no

domain {3,11,23,34,121}
range: {-9,1,21,34,45}
4.
5.

Explanation:

Step1: Recall function definition

A relation is a function if each element in the domain is paired with exactly one element in the range.

Step2: Analyze relation 1

In the first relation, the domain value 5 is paired with both 8 and 21. So it is not a function.

Step3: Analyze relation 2

Each element in the domain {-14, - 12, 1, 3} is paired with exactly one element in the range {-2, 15, 16, 21}. So it is a function.

Step4: Analyze relation 3

For the set of ordered - pairs {(3, - 9),(11, 21),(121, 34),(34, 1),(23, 45)}, each x - value (domain element) is paired with exactly one y - value (range element). So it is a function.

Step5: Analyze relation 4

Using the vertical - line test on the graph, a vertical line can intersect the graph at more than one point. So it is not a function.

Step6: Analyze relation 5

For the linear graph, any vertical line will intersect the graph at most once. So it is a function.

Answer:

1. Function: No
2. Function: Yes
3. Function: Yes
4. Function: No
5. Function: Yes